CUET Mathematics - A unit vector a makes angles /4 and /3 with x-axis and y-axis respectively and an acute angle with z-axis, then the value of is | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Algebra

Medium

core

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

✅ Correct Option: 4

Related questions:

30th May Shift 2

If $\vec{a} = \hat{i} - 2\hat{j} + 3\hat{k}$ and $\vec{b} = \hat{i} + 2\hat{j} + \hat{k}$ , then which of the following statements are correct?

(A) $\vec{a}$ and $\vec{b}$ are perpendicular to each other.

(B) $\vec{a}$ and $\vec{b}$ are parallel.

(D) Projection of $\vec{a}$ on $\vec{b}$ = 0.

Choose the correct answer from the options given below:

25th May Shift 1

If $\lvert\vec{a}\rvert = \lvert\vec{b}\rvert = \lvert\vec{a}+\vec{b}\rvert = 1$ , then

Match List-I with List-II

LIST-I	LIST-II
A. $\lvert\vec{a}-\vec{b}\rvert$	I. $\dfrac{2\pi}{3}$
B. Angle between $\vec{a}$ and $\vec{b}$	II. $-\dfrac{1}{2}$
C. Angle between $\vec{a}$ and $\vec{a}+\vec{b}$	III. $\sqrt3$
D. $\vec{a}.\vec{b}$	IV. $\dfrac{\pi}{3}$

Choose the correct answer from the options given below:

22nd May Shift 1

If $\vec a$ and $\vec b$ are two unit vectors and $|\vec a-\vec b|=\sqrt3$ , then the value of $|\vec a+\vec b|$ is:

CUET Mathematics 2026 30th May Shift 2 PYQs